A characterization of rational elements by Lüroth-type series expansions in the p-adic number field and in the field of Laurent series over a finite field
Vichian Laohakosol, Narakorn Rompurk (2006)
Acta Arithmetica
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Vichian Laohakosol, Narakorn Rompurk (2006)
Acta Arithmetica
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Vichian Laohakosol, Narakorn Rompurk Kanasri (2007)
Acta Arithmetica
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J. Achari (1978)
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Matusevich, Laura Felicia (2000)
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J. Siciak (1962)
Annales Polonici Mathematici
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J. Achari (1979)
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Krystyna Ziętak (1974)
Applicationes Mathematicae
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Emrah Çakçak, Ferruh Özbudak (2005)
Acta Arithmetica
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Brian Justin Stout (2014)
Acta Arithmetica
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Let K denote a number field, S a finite set of places of K, and ϕ: ℙⁿ → ℙⁿ a rational morphism defined over K. The main result of this paper states that there are only finitely many twists of ϕ defined over K which have good reduction at all places outside S. This answers a question of Silverman in the affirmative.
Eduard Wirsing (1993)
Acta Arithmetica
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T.Y. Lam, A. Prestel, M.D. Choi (1996)
Mathematische Zeitschrift
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T. Chatterjee, S. Gun (2014)
Acta Arithmetica
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The goal of this article is twofold. First, we extend a result of Murty and Saradha (2007) related to the digamma function at rational arguments. Further, we extend another result of the same authors (2008) about the nature of p-adic Euler-Lehmer constants.
D. Brink, H. Godinho, P. H. A. Rodrigues (2008)
Acta Arithmetica
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W. Więsław (1974)
Colloquium Mathematicae
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B.M. Dwork (1973)
Inventiones mathematicae
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